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Finding the Fourth Proportional to 260,031.80, 390,047.70 and 82,552.70

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Solution

The fourth proportional to 260,031.80, 390,047.70 and 82,552.70 is: 123,829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,031.80 : 390,047.70 = 82,552.70 : x
  2. Step 2: Convert to fraction form
    260,031.80/390,047.70 = 82,552.70/x
  3. Step 3: Cross multiply
    260,031.80x = 390,047.70 × 82,552.70
  4. Step 4: Simplify right side
    260,031.80x = 32,199,490,763.79
  5. Step 5: Solve for x
    x = 32,199,490,763.79/260,031.80
  6. Step 6: Final answer
    x = 123,829.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.